A weighted one-level density of families of $L$-functions

DOI10.2140/ant.2024.18.87arXiv2109.07244OpenAlexW3200974601MaRDI QIDQ6071805

Publication date: 29 November 2023

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.07244

zbMATH Keywords

$L$-functions low-lying zeros one-level density density conjecture families of $L$-functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Cites Work

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Haar expectations of ratios of random characteristic polynomials
Moments of the Riemann zeta function
The second moment of quadratic twists of modular $L$-functions
Autocorrelation of ratios of $L$-functions
Mean values of derivatives of modular $L$-series
Linear statistics for zeros of Riemann's zeta function.
Zeros of principal $L$-functions and random matrix theory
Refined global Gross-Prasad conjecture on special Bessel periods and Böcherer's conjecture
Weighted value distributions of the Riemann zeta function on the critical line
Explicit refinements of Böcherer's conjecture for Siegel modular forms of squarefree level
Hypergeometric summation. An algorithmic approach to summation and special function identities
Nonvanishing theorems for L-functions of modular forms and their derivatives
Reduction formulae for generalised hypergeometric functions of one variable
On the Mean Value of L(1/2, χ ) FW Real Characters
Zeroes of zeta functions and symmetry
Weighted Distribution of Low-lying Zeros of GL(2) -functions
On the distribution of the nontrivial zeros of quadratic L-functions close to the real axis
Linear Statistics of Low-Lying Zeros of L-Functions
Applications of theL-functions ratios conjectures
Integral moments of L-functions
Local spectral equidistribution for Siegel modular forms and applications
Families of L-functions and 1-level densities
L-functions and the characteristic polynomials of random matrices
On the order of vanishing of modular $L$-functions at the critical point
Random matrix theory and $L$-functions at $s=1/2$.
Low lying zeros of families of $L$-functions
A WEIGHTED CENTRAL LIMIT THEOREM FOR log|ζ(1/2+it)|

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A weighted one-level density of families of \(L\)-functions